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Simplifying 4(x + 1) + 5 = 6(x + 1) + x Reorder the terms: 4(1 + x) + 5 = 6(x + 1) + x (1 * 4 + x * 4) + 5 = 6(x + 1) + x (4 + 4x) + 5 = 6(x + 1) + x Reorder the terms: 4 + 5 + 4x = 6(x + 1) + x Combine like terms: 4 + 5 = 9 9 + 4x = 6(x + 1) + x Reorder the terms: 9 + 4x = 6(1 + x) + x 9 + 4x = (1 * 6 + x * 6) + x 9 + 4x = (6 + 6x) + x Combine like terms: 6x + x = 7x 9 + 4x = 6 + 7x Solving 9 + 4x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + 4x + -7x = 6 + 7x + -7x Combine like terms: 4x + -7x = -3x 9 + -3x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -3x = 6 + 0 9 + -3x = 6 Add '-9' to each side of the equation. 9 + -9 + -3x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 6 + -9 -3x = 6 + -9 Combine like terms: 6 + -9 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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